681301 divided by 75 
Our goal is to divide 681301 by 75.

Let's proceed to step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 75

Step 2:
When dividing 68 by 75, we get 0 with a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Take the next digit (1) from the dividend and append it to 68, then repeat: 681 / 75

Going ahead to step 3:
When dividing 681 by 75, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 675 away from 681, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 75

Going ahead to step 4:
75 goes into 63 0 times with a remainder of 63.
The next digit of our result is 0. 
Result so far: 90.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 75

Step 5:
When dividing 630 by 75, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 908.0
If we take 600 away from 630, we end up with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 75

Step 6:
The number 75 fits into 301 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 9084.0
If we subtract 300 from 301, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 75 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 9084.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
75 can be fit into 100 1 times, resulting in a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 9084.01
The remainder is 25 after subtracting 75 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 9084.013
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
75 goes into 250 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 9084.0133
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 9084.0133 with a balance of 0.00025.